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Applications of the Fredholm theory in Hilbert space to infinite systems of renewal type integral equations
Journal article   Peer reviewed

Applications of the Fredholm theory in Hilbert space to infinite systems of renewal type integral equations

Charles J. Mode
Mathematical biosciences, v 12(3), pp 347-366
1971

Abstract

In this article an infinite system of renewal-type integral equations that arise in age-dependent branching with arbitrary state space is studied, using a modern version of the Fredholm theory in Hilbert space. The results of this article are preparatory to the study of the limiting behavior of solutions to infinite systems of renewal-type integral equations. A detailed outline of the article's contents is given in Section 1.

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